Henri Cartan

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Henri Cartan (born July 8, 1904) is a son of Élie Cartan, and is, as his father was, a distinguished and influential French mathematician.

Cartan studied at the Lycée Hoche in Versailles, then at the ENS. He held academic positions at a number of French universities, spending the bulk of his working life in Paris.

Henri Cartan is known for work in algebraic topology, in particular on cohomology operations, killing homotopy groups and group cohomology. His seminar in Paris in the years after 1945 covered ground on several complex variables, sheaf theory, spectral sequences and homological algebra, in a way that deeply influenced Jean-Pierre Serre, Armand Borel, Alexander Grothendieck and Frank Adams, amongst others of the leading lights of the younger generation. The number of his official students was small, but includes Adrien Douady, Roger Godement, Max Karoubi, Jean-Pierre Serre and René Thom.

Cartan also was a founding member of the Bourbaki group and one of its most active participants. His book with Samuel Eilenberg Homological Algebra (1956) was an important text, treating the subject with a moderate level of abstraction and category theory.

Henri Cartan received numerous honours and awards. Since 1974 he has been a member of the French Academy of Sciences. He was a foreign member of the Royal Danish Academy of Sciences and Letters, Royal Society of London, Russian Academy of Sciences, Royal Swedish Academy of Sciences, United States National Academy of Sciences, Polish Academy of Sciences and other academies and societies.

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Israel Gelfand / Carl L. Siegel (1978) • Jean Leray / André Weil (1979) • Henri Cartan / Andrey Kolmogorov (1980) • Lars Ahlfors / Oscar Zariski (1981) • Hassler Whitney / Mark Grigoryevich Krein (1982) • Shiing-Shen Chern / Paul Erdős (1983) • Kunihiko Kodaira / Hans Lewy (1984) • Samuel Eilenberg / Atle Selberg (1986) • Kiyoshi Itō / Peter Lax (1987) • Friedrich Hirzebruch / Lars Hörmander (1988) • Alberto Calderón / John Milnor (1989) • Ennio de Giorgi / Ilya Pyatetskii-Shapiro (1990) • Lennart Carleson / John G. Thompson (1992) • Mikhail Gromov / Jacques Tits (1993) • Jürgen Moser (1994) • Robert Langlands / Andrew Wiles (1995) • Joseph B. Keller / Yakov G. Sinai (1996) • László Lovász / Elias M. Stein (1999) • Raoul Bott / Jean-Pierre Serre (2000) • Vladimir Arnold / Saharon Shelah (2001) • Mikio Sato / John Tate (2002) • Grigory Margulis / Sergei Petrovich Novikov (2005) • Stephen Smale / Hillel Furstenberg (2006)

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Wolf Prize in Mathematics Laureates
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